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In this paper we address both to the problem of identifying the noise PowerSpectral Density of interferometric detectors by parametric techniques and tothe problem of the whitening procedure of the sequence of data. We willconcentrate the study on a Power Spectral Density like the one of theItalian-French detector VIRGO and we show that with a reasonable finite numberof parameters we succeed in modeling a spectrum like the theoretical one ofVIRGO, reproducing all its features. We propose also the use of adaptivetechniques to identify and to whiten on line the data of interferometricdetectors. We analyze the behavior of the adaptive techniques in the field ofstochastic gradient and in the  Least Squares ones.Comment: 28 pages, 21 figures, uses iopart.cls accepted for pubblication on  Classical and Quantum Gravit

On-line power spectra identification and whitening for the noise in interferometric gravitational wave detectors